Ladder logic translation is an important problem in industrial automation because without it, it is difficult to switch Programmable Logic Controller (PLC) vendors. The prevailing translation problem highlights mismatched programming environments, incompatible ladder logic constructs, limitations in terms of differences in the semantic expressiveness of the vendor formalisms and integrated black-box proprietary engineering tools which are exemplified in our example case; Rockwell to Siemens PLC code translation. This work presents a mathematical formulation of the problem, the detailed architecture of a solution which supports XML extraction, structural normalization, constrained generative function (LLM), and system integration via the TIA Portal Openness API as rigorously engineered pipeline for automated translation of Rockwell Ladder Programs to Siemens S7 ladder programs. Finally, we present results that show that the translations retain high semantic consistency across instruction categories.

翻译：梯形图代码翻译是工业自动化领域的重要问题，若缺乏有效的翻译手段，将难以切换可编程逻辑控制器（PLC）供应商。当前主流的翻译问题突出体现在：编程环境不匹配、梯形图结构不兼容、不同厂商形式化语义表达能力差异带来的限制，以及集成化的黑盒专有工程工具等问题——这些在本文示例案例（罗克韦尔至西门子PLC代码翻译）中均有体现。本文提出了该问题的数学形式化表述，并详细阐述了解决方案架构：支持XML提取、结构规范化、约束生成函数（LLM），以及通过TIA Portal Openness API实现的系统集成。这一经过严格设计的自动化流水线可将罗克韦尔梯形图程序翻译为西门子S7梯形图程序。最后，实验结果表明，所提出的翻译方法在不同指令类别间均保持了高水平的语义一致性。